Here \(\Delta t_e = t_e -t_e^{\prime }\) . This velocity difference induces a modification to the phase of the GW signal emitted from a binary compact star system. The modified GW waveform in the Fourier domain reads [1]}, [2]}
\(h_A(f) = h_A^{\rm GR} e^{i \delta \Psi _2}, \) 
